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Finding the Fourth Proportional to 153,829.33, 230,768.39 and 65,083.50

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Solution

The fourth proportional to 153,829.33, 230,768.39 and 65,083.50 is: 97,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,829.33 : 230,768.39 = 65,083.50 : x
  2. Step 2: Convert to fraction form
    153,829.33/230,768.39 = 65,083.50/x
  3. Step 3: Cross multiply
    153,829.33x = 230,768.39 × 65,083.50
  4. Step 4: Simplify right side
    153,829.33x = 15,019,214,673.27
  5. Step 5: Solve for x
    x = 15,019,214,673.27/153,829.33
  6. Step 6: Final answer
    x = 97,635.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.